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Simplifying 4(w + -2) + -8 = -3(-6w + 6) + -8w Reorder the terms: 4(-2 + w) + -8 = -3(-6w + 6) + -8w (-2 * 4 + w * 4) + -8 = -3(-6w + 6) + -8w (-8 + 4w) + -8 = -3(-6w + 6) + -8w Reorder the terms: -8 + -8 + 4w = -3(-6w + 6) + -8w Combine like terms: -8 + -8 = -16 -16 + 4w = -3(-6w + 6) + -8w Reorder the terms: -16 + 4w = -3(6 + -6w) + -8w -16 + 4w = (6 * -3 + -6w * -3) + -8w -16 + 4w = (-18 + 18w) + -8w Combine like terms: 18w + -8w = 10w -16 + 4w = -18 + 10w Solving -16 + 4w = -18 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -16 + 4w + -10w = -18 + 10w + -10w Combine like terms: 4w + -10w = -6w -16 + -6w = -18 + 10w + -10w Combine like terms: 10w + -10w = 0 -16 + -6w = -18 + 0 -16 + -6w = -18 Add '16' to each side of the equation. -16 + 16 + -6w = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -6w = -18 + 16 -6w = -18 + 16 Combine like terms: -18 + 16 = -2 -6w = -2 Divide each side by '-6'. w = 0.3333333333 Simplifying w = 0.3333333333
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